ar X iv : m at h / 06 02 46 3 v 1 [ m at h . C T ] 2 1 Fe b 20 06 Flatness , preorders and general metric spaces

ar X iv : m at h / 06 02 64 7 v 1 [ m at h . A G ] 2 8 Fe b 20 06 HIGHER FANO MANIFOLDS AND RATIONAL SURFACES

Let X be a Fano manifold of pseudo-index ≥ 3 such that c 1 (X) 2 − 2c 2 (X) is nef. Irreducibility of some spaces of rational curves on X (in fact, a weaker hypothesis) implies a general point of X is contained in a rational surface.

ar X iv : m at h / 06 02 37 1 v 1 [ m at h . A G ] 1 7 Fe b 20 06 Braid Monodromy of Hypersurface Singularities

ar X iv : a st ro - p h / 06 02 51 3 v 1 2 3 Fe b 20 06 Jet deceleration : the case of PKS 1136 - 135

ar X iv : m at h / 06 02 27 6 v 1 [ m at h . PR ] 1 3 Fe b 20 06 A Sub - Gaussian Berry - Esseen Theorem For the Hypergeometric Distribution

In this paper, we derive a necessary and sufficient condition on the parameters of the Hypergeomet-ric distribution for weak convergence to a Normal limit. We establish a Berry-Esseen theorem for the Hypergeometric distribution solely under this necessary and sufficient condition. We further derive a nonuniform Berry-Esseen bound where the tails of the difference between the Hypergeo-metric and...

ar X iv : h ep - p h / 06 02 19 2 v 1 2 1 Fe b 20 06 UT - 06 - 01 Minimal Supergravity , Inflation , and All That

We consider an inflationary model in the hidden-sector broken supergravity with an effectively large cutoff. The inflaton decay into right-handed neutrinos naturally causes the observed baryon asymmetry of the universe with a reheating temperature low enough to avoid the gravitino overproduction. We emphasize that all the phenomenological requirements from cosmology and particle physics are sat...